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Complex Geometrical Interpretations (1 Viewer)

Francis006

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Jan 18, 2024
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HSC
2024
Wanted to know how to do this question

The points A, B, and C representing non-zero complex numbers a,b and c are the vertices in anticlockwise order of an equilateral triangle in the Argand diagram

By considering the vectors AB and AC show that the complex numbers a, b and c satisfy
2c = (a+b) + i√3 (b-a)

Any help would be greatly appreciated
 

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